Search a number
-
+
238547825 = 52172137241
BaseRepresentation
bin11100011011111…
…11001101110001
3121121212111002122
432031333031301
5442032012300
635400524025
75624423465
oct1615771561
9547774078
10238547825
1111272156a
1267a80615
133a562b79
14239784a5
1515e20c85
hexe37f371

238547825 has 36 divisors (see below), whose sum is σ = 317829732. Its totient is φ = 177561600.

The previous prime is 238547801. The next prime is 238547849. The reversal of 238547825 is 528745832.

It is an interprime number because it is at equal distance from previous prime (238547801) and next prime (238547849).

It can be written as a sum of positive squares in 18 ways, for example, as 46226401 + 192321424 = 6799^2 + 13868^2 .

It is not a de Polignac number, because 238547825 - 26 = 238547761 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (537600) is a multiple of the sum of its prime divisors (400).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 989705 + ... + 989945.

Almost surely, 2238547825 is an apocalyptic number.

238547825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

238547825 is a deficient number, since it is larger than the sum of its proper divisors (79281907).

238547825 is a wasteful number, since it uses less digits than its factorization.

238547825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

The product of its digits is 537600, while the sum is 44.

The square root of 238547825 is about 15444.9935254114. The cubic root of 238547825 is about 620.1905631707.

The spelling of 238547825 in words is "two hundred thirty-eight million, five hundred forty-seven thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 85 137 241 289 425 685 1205 1445 2329 3425 4097 6025 7225 11645 20485 33017 39593 58225 69649 102425 165085 197965 348245 561289 825425 989825 1741225 2806445 9541913 14032225 47709565 238547825